Clarkson who is currently the subject of an internal inquiry after being involved in a "fracas" with the Top Gear producer Oisin Tymon is scheduled to record the satirical panel show in May.
"As far as I'm concerned he [Jeremy Clarkson] is hosting Have I Got News for You, the BBC has not told me what to do yet and it will be an interesting conversation," said Jimmy Mulville, from the production company Hat Trick, which is responsible for the show.
"Maybe we will get the producer on so he can hit Jeremy Clarkson live on television."
Mulville has told the Broadcasting Press Guild that according to him Clarkson is "a fantastic broadcaster".
It is still unclear, however, if Clarkson's suspension from Top Gear affects his scheduled appearances on other BBC shows.
Meanwhile, BBC Trust's Editorial Standards Committee (ESC) has decided to reject complaints over Clarkson's use of the word "pikey" on Top Gear.
Several viewers had found the word "grossly offensive and racist" to the "gypsy traveller community".
ECS, however, concluded that the word was used to mean "cheap" rather than having a racist connotation.
The decision has been the subject of further criticism from the traveller community with a spokesman saying he was "horrified" at the acceptance of the word.
"The claim that it has evolved a new meaning and that most people do not realise it has any reference at all with gypsies and travellers is absolute rubbish," said the spokesman.